A consumer is willing to trade 4 units of x for 1 unit of y when she is consuming bundle (8, 1).She is also wiling to trade 1 unit of x for 2 units of y when she is consuming bundle (4, 4).She is indifferent between these two bundles. Assuming , where and are positive parameters.

(a) What is the utility function for this consumer (the specific form with and identified)?

(b) Are the values for and unique?Why is it so?

(c) Was there a redundancy of information in this problem?If yes, how much is the minimum amount of information required to derive the utility function?